| 引用本文: | 许莉娟,张天平,裔扬.随机时滞马尔可夫跳跃系统的比例–积分跟踪控制[J].控制理论与应用,2011,28(4):567~574.[点击复制] |
| XU Li-juan,ZHANG Tian-ping,YI Yang.PI tracking control for stochastic Markov jump systems with time-delay[J].Control Theory and Technology,2011,28(4):567~574.[点击复制] |
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| 随机时滞马尔可夫跳跃系统的比例–积分跟踪控制 |
| PI tracking control for stochastic Markov jump systems with time-delay |
| 摘要点击 2305 全文点击 1739 投稿时间：2010-03-16 修订日期：2010-05-29 |
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| DOI编号 10.7641/j.issn.1000-8152.2011.4.CCTA100253 |
| 2011,28(4):567-574 |
| 中文关键词 随机马尔可夫跳跃系统 随机稳定 PI跟踪控制 线性矩阵不等式 |
| 英文关键词 stochastic Markov jump systems stochastically stable PI tracking control LMI |
| 基金项目 国家自然科学基金资助项目(60874045, 60904030); 江苏省教育厅基金资助项目(09KJB510019); 江苏省自然科学基金资助项目(BK2009184). |
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| 中文摘要 |
| 针对具有时变时滞和未知非线性的随机马尔可夫跳变系统, 基于传统的PI控制策略和线性矩阵不等式算法, 提出一种具有随机稳定性能、跟踪性能和鲁棒性能的多目标控制器设计方案. 运用Lyapunov稳定性理论并引入L1性能指标, 构造出具有PI结构的跟踪控制器, 保证了随机马尔可夫跳跃系统的稳定性和跟踪性能, 实现了系统跟踪性能的优化, 提高了随机系统的干扰抑制能力和鲁棒性. 最后, 数值仿真算例验证了所提方案的可行性. |
| 英文摘要 |
| Based on the traditional PI control strategy and LMI algorithms, a new controller design scheme is proposed for stochastic Markov jump systems with a time-varying delay and an unknown nonlinear function. Stochastic stability, tracking performance and robust performance are realized in the multi-objective scheme. By using the Lyapunov stability theory and the peak-to-peak measure, we construct the PI tracking controller to guarantee the stochastic stability and the tracking performance of the stochastic systems, optimize the tracking performance, enhance the ability of the disturbance attenuation and improve the robustness of the stochastic systems. Finally, a numerical example is included to show that the proposed method is feasible. |
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